Deformed shell model study of event rates for WIMP- ${}^{73}$Ge scattering

Abstract

The event detection rates for the WIMP (a dark matter candidate) are calculated with ${}^{73}$Ge as the detector. The calculations are performed within the deformed shell model (DSM) based on Hartree-Fock states. First the energy levels and magnetic moment for the ground state and two low lying positive parity states for this nucleus are calculated and compared with experiment. The agreement is quite satisfactory. Then the nuclear wave functions are used to investigate the elastic and inelastic scattering of WIMP from ${}^{73}$Ge. The nuclear structure factors which are independent of supersymmetric model are also calculated as a function of WIMP mass. The event rates are calculated for a given set of SUSY parameters. The calculation shows that ${}^{73}$Ge is a good detector for detecting dark matter.